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by Anurag@Gurome » Tue Dec 06, 2011 1:48 am
karthikpandian19 wrote:If the radius of the circle shown in picture is equal to the chord AB, then what is the value of x ?

(other details in the image)
Image

Image

OAB is an equilateral triangle, as all the sides are of length r.
Angle AOB = 60 degrees
So, angle ACB = 30 degrees (as inscribed angle is exactly one-half the corresponding central angle)
In this case, the inscribed angles are ACB and ABC.
If angle ACB = 30, then angle ABC = 180 - (50 + 30) = 100 degrees

So, angle ACB (or x) can be either 30 or 100 degrees. But in the given answer choices 30 is the only possible choice.

The correct answer is B.
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